Computational Optimization and Applications - Special issue: Numerical analysis of optimization in partial differential equations
Computational Optimization and Applications
Using adaptive proper orthogonal decomposition to solve the reaction--diffusion equation
Applied Numerical Mathematics
Journal of Computational and Applied Mathematics
POD a-posteriori error estimates for linear-quadratic optimal control problems
Computational Optimization and Applications
POD-based feedback control of the burgers equation by solving the evolutionary HJB equation
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
SIAM Journal on Scientific Computing
Nonlinear Model Reduction via Discrete Empirical Interpolation
SIAM Journal on Scientific Computing
A tensor decomposition approach to data compression and approximation of ND systems
Multidimensional Systems and Signal Processing
Control of laser surface hardening by a reduced-order approach using proper orthogonal decomposition
Mathematical and Computer Modelling: An International Journal
Artificial viscosity proper orthogonal decomposition
Mathematical and Computer Modelling: An International Journal
Finite Elements in Analysis and Design
A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
SIAM Journal on Numerical Analysis
Gradient-enhanced surrogate modeling based on proper orthogonal decomposition
Journal of Computational and Applied Mathematics
Structural and Multidisciplinary Optimization
Proper orthogonal decomposition for parameter estimation in oscillating biological networks
Journal of Computational and Applied Mathematics
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Error estimates for Galerkin proper orthogonal decomposition (POD) methods for nonlinear parabolic systems arising in fluid dynamics are proved. For the time integration the backward Euler scheme is considered. The asymptotic estimates involve the singular values of the POD snapshot set and the grid-structure of the time discretization as well as the snapshot locations.